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Finding the Fourth Proportional to 212,489.40, 319,209.30 and 177,497.40

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Solution

The fourth proportional to 212,489.40, 319,209.30 and 177,497.40 is: 266,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,489.40 : 319,209.30 = 177,497.40 : x
  2. Step 2: Convert to fraction form
    212,489.40/319,209.30 = 177,497.40/x
  3. Step 3: Cross multiply
    212,489.40x = 319,209.30 × 177,497.40
  4. Step 4: Simplify right side
    212,489.40x = 56,658,820,805.82
  5. Step 5: Solve for x
    x = 56,658,820,805.82/212,489.40
  6. Step 6: Final answer
    x = 266,643.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.